Explore the Underlying Mathematical Logic of Various Games and the Existence or Non-Existence of Mathematically Calculated Winning Strategies

Yating Xiang, Yuhuan Chen, Yuhan Li

Article ID: 3994
Vol 6, Issue 6, 2023

VIEWS - 112 (Abstract) 80 (PDF)

Abstract


This paper delves into the intricate relationship between games and the mathematical structures that govern them. By exploring
both traditional board games and modern video games, we assess the extent to which mathematical logic plays a pivotal role in determining
gameplay and strategies. A central theme is the quest for winning strategies: their existence, their mathematical underpinnings, and their
limitations. Through case studies of games like chess and poker, the study elucidates the balance between deterministic gameplay and the
unpredictable nature of certain game elements.This comprehensive study offers a bridge between game theory, mathematical logic, and the
practical world of gaming.

Keywords


Game Theory; Mathematical Logic; Winning Strategies

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References


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3. [3] PUBG Corporation. (2017). Player Unknown’s Battlegrounds [Video game]. PUBG Corporation.




DOI: https://doi.org/10.18686/ijmss.v6i6.3994

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